253005216 has 96 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 78508800.

The previous prime is 253005191. The next prime is 253005227. The reversal of 253005216 is 612500352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106441 + ... + 108791.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^253005216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

253005216 is an abundant number, since it is smaller than the sum of its proper divisors (458239584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253005216 is a wasteful number, since it uses less digits than its factorization.

253005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 253005216 is about 15906.1376832970. The cubic root of 253005216 is about 632.4747007748.

Adding to 253005216 its reverse (612500352), we get a palindrome (865505568).

The spelling of 253005216 in words is "two hundred fifty-three million, five thousand, two hundred sixteen".